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Finding the Fourth Proportional to 129.32, 193.94 and 88.58

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Solution

The fourth proportional to 129.32, 193.94 and 88.58 is: 132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 193.94 = 88.58 : x
  2. Step 2: Convert to fraction form
    129.32/193.94 = 88.58/x
  3. Step 3: Cross multiply
    129.32x = 193.94 × 88.58
  4. Step 4: Simplify right side
    129.32x = 17,179.21
  5. Step 5: Solve for x
    x = 17,179.21/129.32
  6. Step 6: Final answer
    x = 132.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.